How deep can the small blind shove Q7o?
Q7o shoves every time as the small blind up to 10bb. At 10bb its shove is worth -0.4892 big blinds against -0.5000 for folding. Past 10bb the chart folds it.
| Stack | Shove frequency | Shove EV | Fold EV | Equity when called |
|---|---|---|---|---|
| 1bb | 100% | +0.035 | -0.500 | 51.8% |
| 2bb | 100% | +0.071 | -0.500 | 51.8% |
| 3bb | 100% | +0.104 | -0.500 | 50.5% |
| 4bb | 100% | +0.093 | -0.500 | 47.0% |
| 5bb | 100% | +0.013 | -0.500 | 43.8% |
| 6bb | 100% | -0.108 | -0.500 | 41.1% |
| 7bb | 100% | -0.237 | -0.500 | 38.8% |
| 8bb | 100% | -0.365 | -0.500 | 37.2% |
| 9bb | 100% | -0.433 | -0.500 | 35.9% |
| 10bb | 100% | -0.489 | -0.500 | 35.1% |
| 11bb | 0% | -0.542 | -0.500 | 34.6% |
| 12bb | 0% | -0.575 | -0.500 | 34.4% |
| 13bb | 0% | -0.613 | -0.500 | 33.9% |
| 14bb | 0% | -0.646 | -0.500 | 33.6% |
| 15bb | 0% | -0.700 | -0.500 | 33.6% |
| 16bb | 0% | -0.692 | -0.500 | 33.3% |
| 17bb | 0% | -0.694 | -0.500 | 33.0% |
| 18bb | 0% | -0.709 | -0.500 | 32.9% |
| 19bb | 0% | -0.743 | -0.500 | 32.3% |
| 20bb | 0% | -0.747 | -0.500 | 32.5% |
When should the big blind call with Q7o?
Q7o calls every time as the big blind up to 7.5bb. At 7.5bb its call is worth -0.8390 big blinds against -1.0000 for folding. At 7.5bb a call breaks even at 43.3% equity, because the big blind has already posted a full blind that folding gives up. At 8bb it mixes, so either choice is close to break-even at that stack. At that stack the call is worth -1.0000 big blinds, level with the -1.0000 for folding. Past 8bb the chart folds it.
| Stack | Call frequency | Call EV | Fold EV | Equity vs shoves |
|---|---|---|---|---|
| 1bb | 100% | +0.035 | -1.000 | 51.8% |
| 2bb | 100% | -0.000 | -1.000 | 50.0% |
| 3bb | 100% | -0.129 | -1.000 | 47.8% |
| 4bb | 100% | -0.247 | -1.000 | 46.9% |
| 5bb | 100% | -0.366 | -1.000 | 46.3% |
| 6bb | 100% | -0.541 | -1.000 | 45.5% |
| 7bb | 100% | -0.714 | -1.000 | 44.9% |
| 8bb | 53% | -1.000 | -1.000 | 43.8% |
| 9bb | 0% | -1.242 | -1.000 | 43.1% |
| 10bb | 0% | -1.491 | -1.000 | 42.5% |
| 11bb | 0% | -1.897 | -1.000 | 41.4% |
| 12bb | 0% | -2.101 | -1.000 | 41.2% |
| 13bb | 0% | -2.343 | -1.000 | 41.0% |
| 14bb | 0% | -2.635 | -1.000 | 40.6% |
| 15bb | 0% | -3.072 | -1.000 | 39.8% |
| 16bb | 0% | -3.270 | -1.000 | 39.8% |
| 17bb | 0% | -3.534 | -1.000 | 39.6% |
| 18bb | 0% | -3.836 | -1.000 | 39.3% |
| 19bb | 0% | -4.129 | -1.000 | 39.1% |
| 20bb | 0% | -4.350 | -1.000 | 39.1% |
What makes Q7o different from similar hands?
Q7o is 12 combos out of the 1,326 two-card hands and ranks number 77 of the 169 starting-hand classes by equity against a random hand. From the small blind, Q7o shoves every time only up to 10bb, while Q7s shoves at every stack from 1 to 20bb. From the big blind, Q7o calls cleanly 3bb shallower than Q7s (7.5bb against 10.5bb). The offsuit version has three times as many combos but gives up the flush equity of its suited twin.
Where can I check other hands like Q7o?
The stack pages show the full shove and call charts at each depth, and the hands closest to Q7o in strength, along with Q7s, have pages of their own. The combos page counts the specific hands that make up Q7o and how card removal changes them.
How were the numbers for Q7o computed?
Both players hold one of the 169 starting-hand classes, weighted by the pairs of specific hands that share no card, so blockers count. Blinds are 0.5 and 1 with no ante and equal stacks. Each pair of classes is scored with its exact equity over every five-card board, and the solver repeats best responses against the other side's running average until the hands on the edge are made exactly indifferent.
Source: GeorgeLiPoker's own heads-up solver, run on its exact preflop equity table.
Questions
- Is Q7o a shove at 10bb heads-up?
- Yes. At 10bb the small blind shoves Q7o: shoving is worth -0.489 big blinds and folding -0.500.
- Should the big blind call a shove with Q7o at 15bb?
- No. At 15bb calling with Q7o is worth -3.072 big blinds against -1.000 for folding, so the chart folds.
- Why does Q7o change from a shove to a fold as stacks grow?
- Deeper stacks put more chips at risk for the same blinds, and the big blind can afford to call a smaller share of hands. Q7o shoves every time only up to 10bb.